73.6k views
3 votes
Determine the equation of a perpendicular line to y= -3/5x + 14, y-intercept 8

1 Answer

4 votes

9514 1404 393

Answer:

y = 5/3x +8

Explanation:

The slope of the perpendicular line is the opposite reciprocal of the slope of the given line. The given slope is -3/5, so the perpendicular slope is ...

-1/(-3/5) = 5/3

That and the given y-intercept can be put into the slope-intercept equation ...

y = mx + b . . . . . line of slope m and y-intercept b

y = 5/3x + 8

User Styphon
by
5.5k points